Question
Find the linear approximation of the function
g(x) = fifth root(1 + x) at a = 0.
g(x)≈ 1+(x/5)
Correct: Your answer is correct.
Use it to approximate the numbers
fifth root (0.95) and fifth root (1.1)
(Round your answers to three decimal places.)
g(x) = fifth root(1 + x) at a = 0.
g(x)≈ 1+(x/5)
Correct: Your answer is correct.
Use it to approximate the numbers
fifth root (0.95) and fifth root (1.1)
(Round your answers to three decimal places.)
Answers
Steve
so, assuming that you have the linear function 1+x/5
root(0.95) = root(1-.05) ≈ 1+(-.05)/5 = 1-.01 = 0.99
root(1.1) = root(1+0.1) ≈ 1+0.1/5 = 1.02
root(0.95) = root(1-.05) ≈ 1+(-.05)/5 = 1-.01 = 0.99
root(1.1) = root(1+0.1) ≈ 1+0.1/5 = 1.02